Corollary 8.5.4.9. Let $\operatorname{\mathcal{C}}$ and $\operatorname{\mathcal{D}}$ be $\infty $-categories which are equivalent. Then $\operatorname{\mathcal{C}}$ is idempotent complete if and only if $\operatorname{\mathcal{D}}$ is idempotent complete.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$